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Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy |
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| Authors: | Benoît Collins Carlos E. González-Guillén David Pérez-García |
| Affiliation: | 1. Département de Mathématique et Statistique, Université d’Ottawa, K1N6N5, Ottawa, Canada 2. CNRS, Institut Camille Jordan Universite Lyon 1, 69622, Villeurbanne, France 3. Departamento de Matemáticas, E.T.S.I. Industriales, Universidad Politécnica de Madrid, 28006, Madrid, Spain 5. IMI, Universidad Complutense de Madrid, 28040, Madrid, Spain 4. Departamento Análisis Matemático, Universidad Complutense de Madrid, 28040, Madrid, Spain |
| Abstract: | Using random matrix techniques and the theory of Matrix Product States we show that reduced density matrices of quantum spin chains have generically maximum entropy. |
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